1853129522209 has 9 divisors (see below), whose sum is σ = 2155692365841. Its totient is φ = 1588388565540.

The previous prime is 1853129522161. The next prime is 1853129522219. The reversal of 1853129522209 is 9022259213581.

The square root of 1853129522209 is 1361297.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1853129522209 - 2²¹ = 1853127425057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1853129522219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9431844 + ... + 9626314.

Almost surely, 2^{1853129522209} is an apocalyptic number.

1853129522209 is the 1361297-th square number.

1853129522209 is the 680649-th centered octagonal number.

It is an amenable number.

1853129522209 is a deficient number, since it is larger than the sum of its proper divisors (302562843632).

1853129522209 is an frugal number, since it uses more digits than its factorization.

1853129522209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388956 (or 194478 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 1853129522209 by its sum of digits (49), we get a square (90803346588241 = 9529079²).

1853129522209 divided by its sum of digits (49) gives a square (37818969841 = 194471²).

The spelling of 1853129522209 in words is "one trillion, eight hundred fifty-three billion, one hundred twenty-nine million, five hundred twenty-two thousand, two hundred nine".